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Finding the Third Proportional to 80,058 and 173,265

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Solution

The third proportional to 80,058 and 173,265 is: 374,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,058 : 173,265 = 173,265 : x
  2. Step 2: Convert to fraction form
    80,058/173,265 = 173,265/x
  3. Step 3: Cross multiply
    80,058x = 173,265 × 173,265
  4. Step 4: Simplify right side
    80,058x = 30,020,760,225
  5. Step 5: Solve for x
    x = 30,020,760,225/80,058
  6. Step 6: Final answer
    x = 374,987.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.